Finding the Third Proportional to 2,165.06 and 3,186.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,165.06 : 3,186.42 = 3,186.42 : x
2. Step 2: Convert to fraction form
   2,165.06/3,186.42 = 3,186.42/x
3. Step 3: Cross multiply
   2,165.06x = 3,186.42 × 3,186.42
4. Step 4: Simplify right side
   2,165.06x = 10,153,284.37
5. Step 5: Solve for x
   x = 10,153,284.37/2,165.06
6. Step 6: Final answer
   x = 4,689.60